Let f(x) be a non-negative continuous fu...

Let f(x) be a non-negative continuous function such that the area bounded by the curve `y=f(x)`, x-axis and the ordinates `x=(pi)/(4)` and `x = bet gt (pi)/(4)` is `beta sin beta +(pi)/(4) cos beta +sqrt(2) beta` then `f((pi)/(2))=`

A

`(pi)/(4)+sqrt(2)-1`

B

`(pi)/(4)-sqrt(2)+1`

C

`-(pi)/(4)-sqrt(2)+1`

D

`-(pi)/(4)+sqrt(2)+1`

Verified by Experts

The correct Answer is:

4

Similar Questions

Explore conceptually related problems

The area of the region bounded by the curve y=sin,x x-axis and the ordinates x=0,x=pi//3 is

The area under the curve y=sin2x+cos 2x between the ordinates x = 0, x=(pi)/(4) is

Find the area bounded by the curves y= cos x and y= sin x between the ordinates x=0 and x= (3pi)/(2)

The area of the region bounded by y=cosx , X-axis and the ordinates x = 0, x=(pi)/(4) is

The area under the curve y=sin2+cos2x and x-axis from x=0 to x=pi//4 is

The area of the region bounded by the curve y=tanx tangent drawn to the curve at x=pi//4 and the x-axis is

Let f(x)= "max" {sin x, cos x, (1)/(2)} . Determine the area of the region bounded by y= f(x) , x-axis and x= 2pi

Let f(x)=" max "{sin x, cos x, (1)/(2)} . Determine the area of the region bounded by y=f(x) , x-axis and x=2pi